Direct Numerical Simulation of Flow around a Two-Dimensional Circular Cylinder by Higher-Order Finite Difference Scheme. An Investigation of the Outflow Boundary Condition.

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B ◽

10.1299/kikaib.62.2942 ◽

1996 ◽

Vol 62 (600) ◽

pp. 2942-2949

Author(s):

Toshio MIYAUCHI ◽

Toru HIRATA ◽

Mamoru TANAHASHI

Keyword(s):

Numerical Simulation ◽

Boundary Condition ◽

Finite Difference ◽

Circular Cylinder ◽

Direct Numerical Simulation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Two Dimensional ◽

Outflow Boundary Condition ◽

Outflow Boundary

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Direct Numerical Simulation of Two-Dimensional Homogeneous Isotropic Turbulence by Higher-Order Finite Difference Scheme.(Comparison with the Spectral Method).

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B ◽

10.1299/kikaib.60.1999 ◽

1994 ◽

Vol 60 (574) ◽

pp. 1999-2006 ◽

Author(s):

Toshio Miyauchi ◽

Toru Hirata ◽

Mamoru Tanahashi

Keyword(s):

Numerical Simulation ◽

Finite Difference ◽

Direct Numerical Simulation ◽

Difference Scheme ◽

Spectral Method ◽

Finite Difference Scheme ◽

Isotropic Turbulence ◽

Higher Order ◽

Two Dimensional ◽

Homogeneous Isotropic Turbulence

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Consistency of Finite-Difference Scheme in Direct Numerical Simulation of Turbulence.

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B ◽

10.1299/kikaib.60.3280 ◽

1994 ◽

Vol 60 (578) ◽

pp. 3280-3286 ◽

Author(s):

Tetsuya Suzuki ◽

Hiroshi Kawamura

Keyword(s):

Numerical Simulation ◽

Finite Difference ◽

Direct Numerical Simulation ◽

Difference Scheme ◽

Finite Difference Scheme

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A Weighted Error Estimate for a Finite-Difference Scheme of Increased Approximation Order for a Two-Dimensional Poisson Equation with Allowance for the Dirichlet Boundary Condition

Cybernetics and Systems Analysis ◽

10.1007/s10559-018-0014-3 ◽

2018 ◽

Vol 54 (1) ◽

pp. 130-138 ◽

Author(s):

N. V. Mayko

Keyword(s):

Boundary Condition ◽

Finite Difference ◽

Error Estimate ◽

Difference Scheme ◽

Dirichlet Boundary Condition ◽

Finite Difference Scheme ◽

Dirichlet Boundary ◽

Approximation Order ◽

Two Dimensional ◽

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The Finite-Difference Scheme of Higher Order of Accuracy for the Two-Dimensional Poisson Equation in a Rectangle with Regard for the Effect of the Dirichlet Boundary Condition

Cybernetics and Systems Analysis ◽

10.1007/s10559-018-0063-7 ◽

2018 ◽

Vol 54 (4) ◽

pp. 624-635

Author(s):

N. V. Mayko

Keyword(s):

Boundary Condition ◽

Finite Difference ◽

Difference Scheme ◽

Poisson Equation ◽

Dirichlet Boundary Condition ◽

Finite Difference Scheme ◽

Dirichlet Boundary ◽

Higher Order ◽

Two Dimensional ◽

Order Of Accuracy

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A new stable finite difference scheme and its error analysis for two‐dimensional singularly perturbed convection–diffusion equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22732 ◽

2020 ◽

Author(s):

Kamalesh Kumar ◽

Pramod Chakravarthy Podila

Keyword(s):

Finite Difference ◽

Error Analysis ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Singularly Perturbed ◽

Diffusion Equations ◽

Two Dimensional ◽

Convection Diffusion

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Robust higher order finite difference scheme for singularly perturbed turning point problem with two outflow boundary layers

Computational and Applied Mathematics ◽

10.1007/s40314-021-01564-w ◽

2021 ◽

Vol 40 (5) ◽

Author(s):

Vikas Gupta ◽

Sanjay K. Sahoo ◽

Ritesh K. Dubey

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Boundary Layers ◽

Finite Difference Scheme ◽

Turning Point ◽

Higher Order ◽

Singularly Perturbed ◽

Point Problem ◽

Outflow Boundary

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A high-order ADI finite difference scheme for a 3D reaction-diffusion equation with neumann boundary condition

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21726 ◽

2012 ◽

Vol 29 (3) ◽

pp. 778-798 ◽

Author(s):

Wenyuan Liao

Keyword(s):

Boundary Condition ◽

Finite Difference ◽

Diffusion Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Neumann Boundary Condition ◽

Neumann Boundary ◽

Reaction Diffusion ◽

Reaction Diffusion Equation

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Numerical Simulation of Supersonic Twin-Jet Noise with High-Order Finite Difference Scheme

AIAA Journal ◽

10.2514/1.j055751 ◽

2018 ◽

Vol 56 (1) ◽

pp. 290-300 ◽

Author(s):

Junhui Gao ◽

Xin Xu ◽

Xiaodong Li

Keyword(s):

Numerical Simulation ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Jet Noise ◽

High Order Finite Difference

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Sixth-order finite difference scheme for the Helmholtz equation with inhomogeneous Robin boundary condition

Advances in Difference Equations ◽

10.1186/s13662-019-2304-0 ◽

2019 ◽

Vol 2019 (1) ◽

Author(s):

Yang Zhang ◽

Kun Wang ◽

Rui Guo

Keyword(s):

Boundary Condition ◽

Finite Difference ◽

Difference Scheme ◽

Helmholtz Equation ◽

Finite Difference Scheme ◽

Robin Boundary Condition ◽

Sixth Order ◽

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A block interface flux reconstruction method for numerical simulation with high order finite difference scheme

Journal of Computational Physics ◽

10.1016/j.jcp.2012.12.037 ◽

2013 ◽

Vol 241 ◽

pp. 1-17 ◽

Author(s):

Junhui Gao

Keyword(s):

Numerical Simulation ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Flux Reconstruction ◽

Reconstruction Method ◽

High Order Finite Difference

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